Salam Academy
Paper 3 · Module

Statistical hypothesis testing

3 subtopics≈ 115 min in total
  1. Binomial and Poisson tests

    Assume nothing has changed (H0H_0), then ask how surprising your observation would be. If the probability of a result at least that extreme is below the significance level, the evidence says something has changed.

    ≈ 40 min
  2. Tests for a population mean

    Has the average changed? Assume it hasn't, work out how many standard errors the sample mean is from the claimed mean, and compare that zz with the critical value for your significance level.

    ≈ 40 min
  3. Type I and Type II errors

    Every test can go wrong in two ways: crying wolf (rejecting a true H0H_0, Type I) or missing the wolf (keeping a false H0H_0, Type II). Their probabilities come straight from the critical region.

    ≈ 35 min